Finite Group Databasebeta

← #33979795

Subgroups — #33979795

Order 18688.

1860 conjugacy classes of subgroups.

The subgroup lattice has 1790 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624513C211yesmaximal, characteristic, complemented
2#22623856C211yesmaximal, characteristic, complemented
3#22623016C211yesmaximal, characteristic, complemented
4#22622931C211yesmaximal, characteristic, complemented
5#22622759C211yesmaximal, characteristic, complemented
6#22622586C211yesmaximal, characteristic, complemented
7#22622253C211yesmaximal, characteristic, complemented
8#22622147C211yesmaximal, characteristic, complemented
9#22622136C211yesmaximal, characteristic, complemented
10#22622029C211yesmaximal, characteristic, complemented
11#22621915C211yesmaximal, characteristic, complemented
12#22621828C211yesmaximal, characteristic, complemented
13#22621616C211yesmaximal, characteristic, complemented
14#22621566C211yesmaximal, characteristic, complemented
15#22621562C211yesmaximal, characteristic, complemented
16#22621527C211yesmaximal, characteristic, complemented
17#22621469C211yesmaximal, characteristic, complemented
18#22621368C211yesmaximal, characteristic, complemented
19#22621350C211yesmaximal, characteristic, complemented
20#22621326C211yesmaximal, characteristic, complemented
21#22621021C211yesmaximal, characteristic, complemented
22#22620987C211yesmaximal, characteristic, complemented
23#22620904C211yesmaximal, characteristic, complemented
24#22620177C211yesmaximal, characteristic, complemented
25#22620134C211yesmaximal, characteristic, complemented
26#22619973C211yesmaximal, characteristic, complemented
27#22619482C211yesmaximal, characteristic, complemented
28#22619431C211yesmaximal, characteristic, complemented
29#22619392C211yesmaximal, characteristic, complemented
30#22619073C211yesmaximal, characteristic, complemented
31C73×#3264C211yesmaximal, characteristic, complemented
32C2×#14556620C2211yescharacteristic, complemented
33C2×#14556617C2211yescharacteristic
34C2×#14556617C2211yescharacteristic, complemented
35C2×#14556610C2211yescharacteristic
36#17989332—21no—
37#17989326—21no—
38#17989323C2211yescharacteristic, complemented
39#17989319C2211yescharacteristic, complemented
40#17989307C2211yescharacteristic, complemented
41#17989296C2211yescharacteristic, complemented
42#17989284C2211yescharacteristic
43#17989282—21no—
44#17989280—21no—
45#17989277C2211yescharacteristic
46#17989268—21no—
47#17989268—21no—
48#17989263—21no—
49#17989255C2211yescharacteristic, complemented
50#17989247C2211yescharacteristic, complemented
51#17989244C2211yescharacteristic, complemented
52#17989242C2211yescharacteristic
53#17989237C2211yescharacteristic, complemented
54#17989231—21no—
55#17989231C2211yescharacteristic
56#17989231C2211yescharacteristic, complemented
57#17989231C2211yescharacteristic, complemented
58#17989204C2211yescharacteristic
59#17989197C2211yescharacteristic, complemented
60#17989191C2211yescharacteristic, complemented
61#17989190—21no—
62#17989188C2211yescharacteristic, complemented
63#17989182—21no—
64#17989180—21no—
65#17989175—21no—
66#17989172—21no—
67#17989172—21no—
68#17989157C2211yescharacteristic, complemented
69#17989154C2211yescharacteristic, complemented
70#17989133C2211yescharacteristic, complemented
71#17989118C2211yescharacteristic, complemented
72#17989118C2211yescharacteristic, complemented
73#17989117C2211yescharacteristic
74#17989093—21no—
75C2×#14556572—21no—
76#17989066C2211yescharacteristic, complemented
77#17989062C2211yescharacteristic
78C2×D4×Dic73C2211yescharacteristic, complemented
79#17988975C2211yescharacteristic, complemented
80#17988970C2211yescharacteristic, complemented
81#17988970C2211yescharacteristic, complemented
82#17988968C2211yescharacteristic, complemented
83#17988959C2211yescharacteristic, complemented
84#17988956C2211yescharacteristic, complemented
85#17988945C2211yescharacteristic, complemented
86#17988943C2211yescharacteristic, complemented
87#17988941C2211yescharacteristic, complemented
88#17988940C2211yescharacteristic, complemented
89#17988932C2211yescharacteristic, complemented
90#17988929C2211yescharacteristic, complemented
91#17988925C2211yescharacteristic, complemented
92#17988923C2211yescharacteristic, complemented
93#17988907C2211yescharacteristic, complemented
94#17988903C2211yescharacteristic, complemented
95#17988899C2211yescharacteristic, complemented
96#17988897C2211yescharacteristic, complemented
97#17988897C2211yescharacteristic, complemented
98#17988889C2211yescharacteristic, complemented
99#17988889C2211yescharacteristic, complemented
100#17988888C2211yescharacteristic, complemented
101#17988887C2211yescharacteristic, complemented
102#17988885C2211yescharacteristic, complemented
103#17988885C2211yescharacteristic, complemented
104#17988880C2211yescharacteristic, complemented
105#17988871C2211yescharacteristic, complemented
106#17988845C2211yescharacteristic, complemented
107#17988843C2211yescharacteristic, complemented
108#17988839C2211yescharacteristic, complemented
109#17988837C2211yescharacteristic, complemented
110#17988831C2211yescharacteristic
111#17988831C2211yescharacteristic, complemented
112#17988831C2211yescharacteristic, complemented
113#17988828C2211yescharacteristic, complemented
114#17988822C2211yescharacteristic, complemented
115#17988820C2211yescharacteristic, complemented
116#17988808C2211yescharacteristic, complemented
117#17988808C2211yescharacteristic, complemented
118#17988808C2211yescharacteristic, complemented
119#17988807C2211yescharacteristic, complemented
120#17988806C2211yescharacteristic, complemented
121#17988804C2211yescharacteristic, complemented
122#17988804C2211yescharacteristic, complemented
123#17988800C2211yescharacteristic
124#17988800C2211yescharacteristic
125#17988800C2211yescharacteristic
126#17988800C2211yescharacteristic, complemented
127#17988800C2211yescharacteristic, complemented
128#17988800C2211yescharacteristic, complemented
129#17988800C2211yescharacteristic, complemented
130#17988800C2211yescharacteristic, complemented
131#17988798C2211yescharacteristic, complemented
132#17988796C2211yescharacteristic, complemented
133#17988792C2211yescharacteristic, complemented
134#17988790C2211yescharacteristic, complemented
135#17988790C2211yescharacteristic, complemented
136#17988790C2211yescharacteristic, complemented
137#17988786C2211yescharacteristic, complemented
138#17988780C2211yescharacteristic
139#17988780C2211yescharacteristic
140#17988780C2211yescharacteristic, complemented
141#17988780C2211yescharacteristic, complemented
142#17988780C2211yescharacteristic, complemented
143#17988779C2211yescharacteristic, complemented
144#17988751C2211yescharacteristic, complemented
145#17988751C2211yescharacteristic, complemented
146#17988749C2211yescharacteristic, complemented
147#17988738C2211yescharacteristic
148#17988738C2211yescharacteristic, complemented
149#17988738C2211yescharacteristic, complemented
150#17988733C2211yescharacteristic, complemented
151#17988730C2211yescharacteristic
152#17988730C2211yescharacteristic, complemented
153#17988729C2211yescharacteristic
154#17988729C2211yescharacteristic, complemented
155#17988729C2211yescharacteristic, complemented
156#17988724C2211yescharacteristic, complemented
157#17988724C2211yescharacteristic, complemented
158#17988715C2211yescharacteristic, complemented
159#17988711C2211yescharacteristic, complemented
160#17988689C2211yescharacteristic, complemented
161#17988688C2211yescharacteristic, complemented
162#17988684C2211yescharacteristic, complemented
163#17988678C2211yescharacteristic, complemented
164#17988678C2211yescharacteristic, complemented
165#17988678C2211yescharacteristic, complemented
166SD16×Dic73C2211yescharacteristic, complemented
167C4×#11924016C2211yescharacteristic, complemented
168D8×Dic73C2211yescharacteristic
169D8×Dic73C2211yescharacteristic, complemented
170C4×#11924013C2211yescharacteristic, complemented
171#17988665C2211yescharacteristic
172#17988663C2211yescharacteristic, complemented
173#17988662C2211yescharacteristic, complemented
174#17988661C2211yescharacteristic, complemented
175C8×C22⋊D73C2211yescharacteristic, complemented
176#17988649C2211yescharacteristic, complemented
177#17988645C2211yescharacteristic, complemented
178#17988637C2211yescharacteristic, complemented
179#17988613C2211yescharacteristic, complemented
180#17988612C2211yescharacteristic, complemented
181#17988610C2211yescharacteristic, complemented
182#17988592C2211yescharacteristic, complemented
183#17988589C2211yescharacteristic, complemented
184#17988588C2211yescharacteristic, complemented
185#17988585C2211yescharacteristic, complemented
186#17988584C2211yescharacteristic, complemented
187#103×D73C2211yescharacteristic, complemented
188C2×AGL(1,ℤ/8)×C73C2211yescharacteristic
189C22×D8×C73C2211yescharacteristic
190#546×C73C2211yescharacteristic
191D42×C73C2211yescharacteristic
192#496×C73C2211yescharacteristic
193#469×C73C2211yescharacteristic
194#465×C73C2211yescharacteristic
195#463×C73C2211yescharacteristic
196#459×C73C2211yescharacteristic
197#450×C73C2211yescharacteristic
198#449×C73C2211yescharacteristic
199#447×C73C2211yescharacteristic
200#447×C73C2211yescharacteristic
201#442×C73C2211yescharacteristic
202#435×C73C2211yescharacteristic
203C2×#11924028C2311yescharacteristic
204C2×#11924028C2311yescharacteristic
205C2×#11924027—21no—
206C2×#11924027C2311yescharacteristic
207C2×#11924027C2311yescharacteristic
208C2×Q8×D73C2311yescharacteristic
209C23×Dic73—21no—
210#14556620—42no—
211#14556617—42no—
212#14556617—42no—
213#14556610—42no—
214C2×Dic292C2311yescharacteristic
215C2×Dic292C2311yescharacteristic
216C2×#11924018C2311yescharacteristic
217C2×#11924017C2311yescharacteristic
218C2×#11924016C2311yescharacteristic
219C2×#11924016C2311yescharacteristic
220C2×#11924016C2311yescharacteristic
221C2×#11924016C2311yescharacteristic
222C2×#11924016C2311yescharacteristic
223C2×#11924016C2311yescharacteristic
224C2×#11924016C2311yescharacteristic
225C2×#11924016C2311yescharacteristic
226C2×#11924013C2311yescharacteristic
227C2×#11924013C2311yescharacteristic
228C2×#11924013C2311yescharacteristic
229C2×#11924012C2311yescharacteristic
230C2×#11924012C2311yescharacteristic
231C2×#11924011C2311yescharacteristic
232C2×C8×D73C2311yescharacteristic
233#14556591C2311yescharacteristic
234#14556590C2311yescharacteristic
235#14556589C2311yescharacteristic
236#14556587—21no—
237#14556587C2311yescharacteristic
238#14556587C2311yescharacteristic
239#14556586D411yescharacteristic
240#14556584—21no—
241#14556584—21no—
242#14556584—21no—
243#14556584—21no—
244#14556584—21no—
245#14556584—21no—
246#14556584—21no—
247#14556584—21no—
248#14556584—21no—
249#14556584D411yescharacteristic
250#14556583C2311yescharacteristic
251#14556582—21no—
252#14556582C2311yescharacteristic
253#14556582C2311yescharacteristic
254#14556581—21no—
255#14556581—21no—
256#14556581D411yescharacteristic
257#14556580C2311yescharacteristic
258#14556578—21no—
259#14556578—21no—
260#14556578—21no—
261#14556578C2311yescharacteristic
262#14556578C2311yescharacteristic
263#14556578C2311yescharacteristic
264#14556578C2311yescharacteristic
265#14556578C2311yescharacteristic
266#14556577—21no—
267#14556577—21no—
268#14556577D411yescharacteristic
269#14556575—21no—
270#14556575D411yescharacteristic
271#14556574—21no—
272#14556573—21no—
273#14556573—21no—
274#14556573—21no—
275#14556573—21no—
276#14556573—21no—
277#14556573—21no—
278#14556573—21no—
279#14556572—21no—
280#14556572—21no—
281#14556572—21no—
282#14556572—21no—
283#14556572—21no—
284#14556572—21no—
285#14556572—21no—
286#14556572—21no—
287#14556572—21no—
288#14556572—21no—
289#14556572—21no—
290#14556572—21no—
291#14556572—21no—
292#14556572D411yescharacteristic
293#14556570—21no—
294#14556570—21no—
295#14556570—21no—
296#14556570C2311yescharacteristic
297#14556570C2311yescharacteristic
298#14556570C2311yescharacteristic
299#14556570C2311yescharacteristic
300#14556569—21no—
301#14556568—21no—
302#14556568—21no—
303#14556568—21no—
304#14556568—21no—
305#14556568—21no—
306#14556568—21no—
307#14556568D411yescharacteristic
308#14556566C2311yescharacteristic
309#14556565—21no—
310#14556564—21no—
311#14556564—21no—
312#14556564—21no—
313#14556563—21no—
314#14556563—21no—
315#14556563—21no—
316#14556563—21no—
317#14556563—21no—
318#14556563—21no—
319#14556563—21no—
320#14556563—21no—
321#14556563D411yescharacteristic
322#14556562—21no—
323#14556562—21no—
324#14556562—21no—
325#14556562—21no—
326#14556562—21no—
327#14556562C2311yescharacteristic
328#14556562C2311yescharacteristic
329#14556562C2311yescharacteristic
330#14556560—21no—
331#14556560—21no—
332#14556560—21no—
333#14556560—21no—
334#14556560—21no—
335Q8×Dic73C2311yescharacteristic
336C4×Dic146C2311yescharacteristic
337C4×Dic146C2311yescharacteristic
338#14556556C2311yescharacteristic
339#14556556C2311yescharacteristic
340#14556556C2311yescharacteristic
341C4×D292C2311yescharacteristic
342D4×Dic73—21no—
343D4×Dic73—21no—
344D4×Dic73—21no—
345D4×Dic73—21no—
346D4×Dic73—21no—
347D4×Dic73—21no—
348D4×Dic73—21no—
349D4×Dic73C2311yescharacteristic
350D4×Dic73C2311yescharacteristic
351D4×Dic73C2311yescharacteristic
352D4×Dic73C2311yescharacteristic
353D4×Dic73C2311yescharacteristic
354D4×Dic73C2311yescharacteristic
355D4×Dic73C2311yescharacteristic
356D4×Dic73C2311yescharacteristic
357#14556553—21no—
358C4×C22⋊D73—21no—
359C4×C22⋊D73—21no—
360C4×C22⋊D73—21no—
361C4×C22⋊D73—21no—
362C4×C22⋊D73C2311yescharacteristic
363C4×C22⋊D73C2311yescharacteristic
364#14556551—21no—
365#14556551—21no—
366#14556551—21no—
367#14556551—21no—
368#14556550—21no—
369#14556550C2311yescharacteristic
370#14556550C2311yescharacteristic
371#14556548C2311yescharacteristic
372#14556547—21no—
373#14556547—21no—
374#14556547—21no—
375#14556547—21no—
376C2×C4⋊Dic73C2311yescharacteristic
377C2×#11924007—21no—
378C2×#11924007—21no—
379C4⋊C4×D73—21no—
380C4⋊C4×D73C2311yescharacteristic
381C2×C22⋊Dic73—21no—
382C2×C22⋊Dic73—21no—
383C2×C22⋊Dic73—21no—
384C2×C22⋊Dic73—21no—
385C2×C22⋊Dic73—21no—
386C2×C22⋊Dic73—21no—
387C2×C4×Dic73C2311yescharacteristic
388#14556525C2311yescharacteristic
389#14556525C2311yescharacteristic
390#14556524C2311yescharacteristic
391#14556524C2311yescharacteristic
392#14556523C2311yescharacteristic
393#14556522C2311yescharacteristic
394#14556522C2311yescharacteristic
395C4⋊#10596831C2311yescharacteristic
396#14556520C2311yescharacteristic
397#14556520C2311yescharacteristic
398#14556520C2311yescharacteristic
399#14556520C2311yescharacteristic
400#14556520C2311yescharacteristic
401#14556520C2311yescharacteristic
402#14556520C2311yescharacteristic
403#14556520C2311yescharacteristic
404#14556516C2311yescharacteristic
405#14556516C2311yescharacteristic
406#14556516C2311yescharacteristic
407#14556516C2311yescharacteristic
408#14556516C2311yescharacteristic
409#14556516C2311yescharacteristic
410#14556516C2311yescharacteristic
411#14556515C2311yescharacteristic
412#14556515C2311yescharacteristic
413#14556515C2311yescharacteristic
414#14556514C2311yescharacteristic
415#14556514C2311yescharacteristic
416#14556514C2311yescharacteristic
417#14556513C2311yescharacteristic
418#14556513C2311yescharacteristic
419#14556513C2311yescharacteristic
420#14556512C2311yescharacteristic
421#14556512C2311yescharacteristic
422#14556512C2311yescharacteristic
423#14556512C2311yescharacteristic
424#14556512C2311yescharacteristic
425#14556512C2311yescharacteristic
426#14556512C2311yescharacteristic
427#14556512C2311yescharacteristic
428#14556512C2311yescharacteristic
429#14556511C2311yescharacteristic
430C22⋊#10596831C2311yescharacteristic
431C22⋊#10596831C2311yescharacteristic
432#14556503C2311yescharacteristic
433#14556503C2311yescharacteristic
434#14556501C2311yescharacteristic
435C4×#10596831C2311yescharacteristic
436C8×Dic73C2311yescharacteristic
437C8×Dic73C2311yescharacteristic
438C8×Dic73C2311yescharacteristic
439C2×#41×C73C2311yescharacteristic
440C22×D4×C73—21no—
441C22×D4×C73C2311yescharacteristic
442C22×D4×C73C2311yescharacteristic
443C22×D4×C73C2311yescharacteristic
444AGL(1,ℤ/8)×C73—42no—
445C2×SD16×C73C2311yescharacteristic
446C2×SD16×C73C2311yescharacteristic
447C2×SD16×C73C2311yescharacteristic
448C2×D8×C73—42no—
449C2×D8×C73C2311yescharacteristic
450C2×D8×C73C2311yescharacteristic
451C2×D8×C73C2311yescharacteristic
452C2×D8×C73C2311yescharacteristic
453C2×D8×C73C2311yescharacteristic
454C2×D8×C73C2311yescharacteristic
455C2×M16×C73C2311yescharacteristic
456C22×C8×C73C2311yescharacteristic
457#127×C73C2311yescharacteristic
458#124×C73C2311yescharacteristic
459#123×C73—21no—
460C22⋊Q8×C73C2311yescharacteristic
461#121×C73—21no—
462#121×C73—21no—
463#121×C73C2311yescharacteristic
464#121×C73C2311yescharacteristic
465#121×C73C2311yescharacteristic
466#120×C73—21no—
467#120×C73—21no—
468#120×C73—21no—
469C4×D4×C73C2311yescharacteristic
470C4×D4×C73C2311yescharacteristic
471C4×D4×C73C2311yescharacteristic
472C2×C22⋊C4×C73—21no—
473#106×C73C2311yescharacteristic
474C4⋊C8×C73C2311yescharacteristic
475#103×C73C2311yescharacteristic
476#102×C73C2311yescharacteristic
477#102×C73C2311yescharacteristic
478#102×C73C2311yescharacteristic
479#102×C73C2311yescharacteristic
480#102×C73C2311yescharacteristic
481C22⋊C8×C73C2311yescharacteristic
482C22⋊C8×C73C2311yescharacteristic
483#97×C73C2311yescharacteristic
484#11924028—41no—
485#11924028—41no—
486#11924028—41no—
487#11924028—41no—
488#11924027—22no—
489#11924027—41no—
490#11924027—41no—
491#11924027—41no—
492#11924027—82no—
493C2×Dic146—21no—
494C2×Dic146—21no—
495C2×Dic146C2×D411yescharacteristic
496C2×Dic146C2411yescharacteristic
497C2×Dic146C2411yescharacteristic
498C2×Dic146C2411yescharacteristic
499Q8×D73—41no—
500Q8×D73—41no—
501C2×D292—21no—
502C2×D292C2411yescharacteristic
503C2×C22⋊D73—21no—
504C2×C22⋊D73—21no—
505C2×C22⋊D73—21no—
506C2×C22⋊D73—21no—
507C2×C22⋊D73—21no—
508C2×C22⋊D73—21no—
509C2×C22⋊D73—21no—
510C2×C22⋊D73—21no—
511C2×C22⋊D73—21no—
512C2×C22⋊D73—21no—
513C2×C22⋊D73—21no—
514C2×C22⋊D73C2×D411yescharacteristic
515C2×C22⋊D73C2×D411yescharacteristic
516C22×Dic73—21no—
517C22×Dic73—21no—
518C22×Dic73—21no—
519C22×Dic73—21no—
520C22×Dic73—21no—
521C22×Dic73—21no—
522C22×Dic73—21no—
523C22×Dic73—21no—
524C22×Dic73—21no—
525C22×Dic73—21no—
526C22×Dic73—21no—
527C22×Dic73—82no—
528C22×Dic73C2×D411yescharacteristic
529C22×Dic73C2×D411yescharacteristic
530C2×C4×D73—21no—
531C2×C4×D73—21no—
532C2×C4×D73—21no—
533C2×C4×D73—21no—
534C2×C4×D73—21no—
535C2×C4×D73C2411yescharacteristic
536Dic292—41no—
537Dic292—41no—
538#11924018—41no—
539#11924017—41no—
540#11924016—22no—
541#11924016—22no—
542#11924016—41no—
543#11924016—41no—
544#11924016—41no—
545#11924016—41no—
546#11924016—41no—
547#11924016—41no—
548#11924013—22no—
549#11924013—41no—
550#11924013—41no—
551#11924012—41no—
552#11924012—41no—
553#11924011—41no—
554C2×#10596831C2411yescharacteristic
555C2×#10596831C2411yescharacteristic
556C2×#10596831C2411yescharacteristic
557C2×#10596831C2411yescharacteristic
558C8×D73—41no—
559C4⋊Dic73—21no—
560C4⋊Dic73—21no—
561C4⋊Dic73—21no—
562C4⋊Dic73—21no—
563C4⋊Dic73—21no—
564C4⋊Dic73—21no—
565C4⋊Dic73C2×D411yescharacteristic
566C4⋊Dic73C2×D411yescharacteristic
567C4⋊Dic73C2×D411yescharacteristic
568C4⋊Dic73C2411yescharacteristic
569C4⋊Dic73C2411yescharacteristic
570C4⋊Dic73C2411yescharacteristic
571C4⋊Dic73C2411yescharacteristic
572#11924007—21no—
573#11924007—21no—
574#11924007—21no—
575#11924007—21no—
576#11924007—21no—
577#11924007—21no—
578#11924007—21no—
579#11924007—21no—
580#11924007—21no—
581#11924007—21no—
582#11924007—21no—
583#11924007—21no—
584#11924007—21no—
585#11924007—21no—
586#11924007—21no—
587#11924007—21no—
588#11924007C2×D411yescharacteristic
589#11924007C2×D411yescharacteristic
590#11924007C2×D411yescharacteristic
591#11924007C2×D411yescharacteristic
592#11924007C2×D411yescharacteristic
593#11924007C2×D411yescharacteristic
594C22⋊Dic73—21no—
595C22⋊Dic73—21no—
596C22⋊Dic73—21no—
597C22⋊Dic73—21no—
598C22⋊Dic73—21no—
599C22⋊Dic73—21no—
600C22⋊Dic73—21no—
601C22⋊Dic73—21no—
602C22⋊Dic73—21no—
603C22⋊Dic73—21no—
604C22⋊Dic73—21no—
605C22⋊Dic73—21no—
606C22⋊Dic73—21no—
607C22⋊Dic73—21no—
608C22⋊Dic73—21no—
609C22⋊Dic73—21no—
610C22⋊Dic73—21no—
611C22⋊Dic73—21no—
612C22⋊Dic73—21no—
613C22⋊Dic73—21no—
614C22⋊Dic73—21no—
615C22⋊Dic73—21no—
616C22⋊Dic73—21no—
617C22⋊Dic73—21no—
618C22⋊Dic73—21no—
619C22⋊Dic73—21no—
620C22⋊Dic73C2×D411yescharacteristic
621C22⋊Dic73C2×D411yescharacteristic
622C22⋊Dic73C2×D411yescharacteristic
623C22⋊Dic73C2×D411yescharacteristic
624#11924005—21no—
625#11924005—21no—
626#11924005—21no—
627#11924005—21no—
628#11924005C2×D411yescharacteristic
629#11924005C2×D411yescharacteristic
630#11924005C2×D411yescharacteristic
631#11924005C2×D411yescharacteristic
632C4×Dic73—21no—
633C4×Dic73—21no—
634C4×Dic73—21no—
635C4×Dic73—21no—
636C4×Dic73—21no—
637C4×Dic73—21no—
638C4×Dic73C2×D411yescharacteristic
639C4×Dic73C2×D411yescharacteristic
640C4×Dic73C2411yescharacteristic
641C4×Dic73C2411yescharacteristic
642C4×Dic73C2411yescharacteristic
643C24×C73—21no—
644C24×C73—21no—
645C24×C73—21no—
646#41×C73—41no—
647#41×C73—41no—
648C2×Q8×C73C2411yescharacteristic
649C2×D4×C73—22no—
650C2×D4×C73—22no—
651C2×D4×C73—21no—
652C2×D4×C73—21no—
653C2×D4×C73—21no—
654C2×D4×C73—21no—
655C2×D4×C73—21no—
656C2×D4×C73—21no—
657C2×D4×C73—21no—
658C2×D4×C73—21no—
659C2×D4×C73—21no—
660C2×D4×C73—41no—
661C2×D4×C73—41no—
662C2×D4×C73—41no—
663C2×D4×C73—41no—
664C2×D4×C73—82no—
665C2×D4×C73C2×D411yescharacteristic
666C2×D4×C73C2411yescharacteristic
667C2×D4×C73C2411yescharacteristic
668C2×D4×C73C2411yescharacteristic
669C2×D4×C73C2411yescharacteristic
670C2×D4×C73C2411yescharacteristic
671C22×C4×C73—21no—
672C22×C4×C73—21no—
673C22×C4×C73—21no—
674C22×C4×C73C2411yescharacteristic
675C22×C4×C73C2411yescharacteristic
676SD16×C73—22no—
677SD16×C73—41no—
678SD16×C73—41no—
679D8×C73—22no—
680D8×C73—22no—
681D8×C73—41no—
682D8×C73—41no—
683D8×C73—41no—
684D8×C73—41no—
685M16×C73—41no—
686C2×C8×C73—41no—
687C2×C8×C73C2411yescharacteristic
688C2×C8×C73C2411yescharacteristic
689C2×C8×C73C2411yescharacteristic
690C2×C8×C73C2411yescharacteristic
691C4⋊C4×C73—21no—
692C4⋊C4×C73C2×D411yescharacteristic
693C4⋊C4×C73C2411yescharacteristic
694C4⋊C4×C73C2411yescharacteristic
695C22⋊C4×C73—21no—
696C22⋊C4×C73—21no—
697C22⋊C4×C73—21no—
698C22⋊C4×C73—21no—
699C22⋊C4×C73—21no—
700C22⋊C4×C73—21no—
701C22⋊C4×C73—21no—
702C22⋊C4×C73—21no—
703C22⋊C4×C73C2×D411yescharacteristic
704C22⋊C4×C73C2×D411yescharacteristic
705C42×C73C2411yescharacteristic
706C23×C73—21no—
707C23×C73—21no—
708C23×C73—21no—
709C23×C73—21no—
710C23×C73—21no—
711C23×C73—42no—
712C23×C73—42no—
713C23×C73—42no—
714C23×C73—81no—
715C23×C73—81no—
716C23×C73—81no—
717C23×C73—81no—
718C23×C73—81no—
719C23×C73—81no—
720C23×C73C22×D411yescharacteristic
721C23×C73C22×D411yescharacteristic
722C22×D73—21no—
723C22×D73C22×D411yescharacteristic
724Q8×C73—21no—
725Q8×C73—21no—
726D4×C73—21no—
727D4×C73—21no—
728D4×C73—21no—
729D4×C73—21no—
730D4×C73—21no—
731D4×C73—21no—
732D4×C73—21no—
733D4×C73—21no—
734D4×C73—21no—
735D4×C73—41no—
736D4×C73—42no—
737D4×C73—42no—
738D4×C73—42no—
739D4×C73—81no—
740D4×C73—81no—
741D4×C73—81no—
742D4×C73—81no—
743D4×C73—81no—
744D4×C73—81no—
745D4×C73H(5,𝔽2)12yes—
746C2×C4×C73—21no—
747C2×C4×C73—21no—
748C2×C4×C73—21no—
749C2×C4×C73—21no—
750C2×C4×C73—21no—
751C2×C4×C73—21no—
752C2×C4×C73—21no—
753C2×C4×C73—81no—
754C2×C4×C73—81no—
755C2×C4×C73—81no—
756C2×C4×C73C22×D411yescharacteristic
757C2×C4×C73C22×D411yescharacteristic
758C2×C4×C73C22×D411yescharacteristic
759C2×C4×C73C22×D411yescharacteristic
760C2×C4×C73C2511yescharacteristic
761C22⋊D73—41no—
762C22⋊D73—41no—
763C22⋊D73—42no—
764C22⋊D73—81no—
765C22⋊D73—81no—
766C22⋊D73—81no—
767C22⋊D73—81no—
768C22⋊D73—81no—
769C22⋊D73—81no—
770C22⋊D73—81no—
771C22⋊D73—81no—
772C22⋊D73—81no—
773C22⋊D73—81no—
774C2×Dic73—21no—
775C2×Dic73—21no—
776C2×Dic73—21no—
777C2×Dic73—21no—
778C2×Dic73—21no—
779C2×Dic73—21no—
780C2×Dic73—21no—
781C2×Dic73—41no—
782C2×Dic73—41no—
783C2×Dic73—42no—
784C2×Dic73—42no—
785C2×Dic73—81no—
786C2×Dic73—81no—
787C2×Dic73—81no—
788C2×Dic73—81no—
789C2×Dic73—81no—
790C2×Dic73—81no—
791C2×Dic73—81no—
792C2×Dic73—81no—
793C2×Dic73—81no—
794C2×Dic73C22×D411yescharacteristic
795C2×Dic73C22×D411yescharacteristic
796C2×Dic73C22×D411yescharacteristic
797C2×Dic73C22×D411yescharacteristic
798C2×Dic73C22×D411yescharacteristic
799C2×Dic73C22×D411yescharacteristic
800C2×Dic73C22×D411yescharacteristic
801D292—21no—
802D292—21no—
803D292—81no—
804C4×D73—21no—
805C4×D73—21no—
806C4×D73—81no—
807C4×D73—81no—
808C4×D73—81no—
809C4×D73—81no—
810C4×D73—81no—
811Dic146—21no—
812Dic146—21no—
813Dic146—21no—
814Dic146—21no—
815Dic146—21no—
816Dic146—21no—
817Dic146—41no—
818Dic146—81no—
819Dic146—81no—
820C8×C73—21no—
821C8×C73—21no—
822C8×C73—21no—
823C8×C73—21no—
824#10596831—21no—
825#10596831—21no—
826#10596831—21no—
827#10596831—21no—
828C22×C73—21no—
829C22×C73—21no—
830C22×C73—21no—
831C22×C73—21no—
832C22×C73—22no—
833C22×C73—21no—
834C22×C73—21no—
835C22×C73—41no—
836C22×C73—41no—
837C22×C73—41no—
838C22×C73—41no—
839C22×C73—41no—
840C22×C73—41no—
841C22×C73—41no—
842C22×C73—41no—
843C22×C73—41no—
844C22×C73—41no—
845C22×C73—41no—
846C22×C73—41no—
847C22×C73—41no—
848C22×C73—41no—
849C22×C73—84no—
850C22×C73—162no—
851C22×C73—162no—
852C22×C73C23×D411yescharacteristic
853C2×D73—21no—
854C2×D73—21no—
855C2×D73—21no—
856C2×D73—41no—
857C2×D73—41no—
858C2×D73—41no—
859C4×C73—21no—
860C4×C73—21no—
861C4×C73—21no—
862C4×C73—21no—
863C4×C73—41no—
864C4×C73—41no—
865C4×C73—41no—
866C4×C73C2×H(5,𝔽2)11yescharacteristic
867C4×C73#58511yescharacteristic
868Dic73—21no—
869Dic73—21no—
870Dic73—21no—
871Dic73—21no—
872Dic73—21no—
873Dic73—21no—
874Dic73—21no—
875Dic73—41no—
876Dic73—41no—
877Dic73—41no—
878Dic73—41no—
879Dic73—41no—
880Dic73—41no—
881Dic73—41no—
882#62028—731nomaximal, Sylow
883C2×C73—41no—
884C2×C73—41no—
885C2×C73—42no—
886C2×C73—81no—
887C2×C73—81no—
888C2×C73—81no—
889C2×C73—81no—
890C2×C73#348811yescharacteristic
891C2×C73#358411yescharacteristic
892C2×C73#358511yescharacteristic
893D73—41no—
894D73—81no—
895#3562—731no—
896#3513—731no—
897#3403—731no—
898#3394—731no—
899#3376—731no—
900#3361—731no—
901#3332—731no—
902#3323—731no—
903#3322—731no—
904#3315—731no—
905#3308—731no—
906#3301—731no—
907#3280—731no—
908#3275—731no—
909#3275—731no—
910#3272—731no—
911#3268—731no—
912#3264D7311yescharacteristic, complemented
913#3259—731no—
914#3258—731no—
915#3256—731no—
916#3224—731no—
917#3221—731no—
918#3212—731no—
919#3123—731no—
920#3119—731no—
921#3105—731no—
922#3046—731no—
923#3041—731no—
924#3036—731no—
925#2993—731no—
926C73#6202811yescharacteristic, complemented, Sylow
927C2×#137—731no—
928C2×AGL(1,ℤ/8)—731no—
929C2×AGL(1,ℤ/8)—731no—
930C2×AGL(1,ℤ/8)C2×D7311yescharacteristic
931C2×#135—731no—
932C22×D8C2×D7311yescharacteristic
933#562—1461no—
934#560—1461no—
935#559—731no—
936#559—731no—
937#556—731no—
938#554—731no—
939#553—731no—
940#553—1461no—
941#553—1461no—
942#552—731no—
943#551—1461no—
944#551—1461no—
945#551—1461no—
946#550—731no—
947#548—731no—
948#548—731no—
949#547—731no—
950#547—731no—
951#546—731no—
952#546—731no—
953#546—731no—
954#546—1461no—
955#546C2×D7311yescharacteristic
956D42C2×D7311yescharacteristic
957#542—731no—
958#541—731no—
959#540—731no—
960#540—731no—
961#540—1461no—
962#539—1461no—
963#539—1461no—
964#538—1461no—
965#538—1461no—
966#538—1461no—
967#536—731no—
968#535—731no—
969#532—731no—
970#529—731no—
971#529—731no—
972#529—731no—
973#525—1461no—
974C2×#123—1461no—
975#520—731no—
976#518—731no—
977C2×C4×D4—731no—
978#496—731no—
979#496C2×D7311yescharacteristic
980#495—731no—
981#495—731no—
982#495—731no—
983#492—731no—
984#491—731no—
985#489—731no—
986#488—731no—
987#488—731no—
988#488—731no—
989#486—731no—
990#485—731no—
991#485—731no—
992#484—731no—
993#481—731no—
994#481—731no—
995#480—731no—
996#479—731no—
997#479—731no—
998#478—731no—
999#478—731no—
1000#478—731no—
1001#478—731no—
1002#478—731no—
1003#478—731no—
1004#477—731no—
1005#475—731no—
1006#470—731no—
1007#470—731no—
1008#469—731no—
1009#469—731no—
1010#469C2×D7311yescharacteristic
1011#468—731no—
1012#468—731no—
1013#468—731no—
1014#467—731no—
1015#466—731no—
1016#466—731no—
1017#465C2×D7311yescharacteristic
1018#464—731no—
1019#464—731no—
1020#464—731no—
1021#464—731no—
1022#464—731no—
1023#463—731no—
1024#463—731no—
1025#463—731no—
1026#463—731no—
1027#463—731no—
1028#463—731no—
1029#463—731no—
1030#463—731no—
1031#463—731no—
1032#463—731no—
1033#463C2×D7311yescharacteristic
1034#462—731no—
1035#462—731no—
1036#461—731no—
1037#461—731no—
1038#461—731no—
1039#461—731no—
1040#460—731no—
1041#459—731no—
1042#459—731no—
1043#459—731no—
1044#459—731no—
1045#459—731no—
1046#459—731no—
1047#459C2×D7311yescharacteristic
1048#452—731no—
1049#452—731no—
1050#452—731no—
1051#450—731no—
1052#450—731no—
1053#450—731no—
1054#450C2×D7311yescharacteristic
1055#449—731no—
1056#449—731no—
1057#449—731no—
1058#449—731no—
1059#449—731no—
1060#449—731no—
1061#449C2×D7311yescharacteristic
1062#448—731no—
1063#448—731no—
1064#447C2×D7311yescharacteristic
1065#447C2×D7311yescharacteristic
1066#446—731no—
1067C8×Q8—731no—
1068#442C2×D7311yescharacteristic
1069#440—731no—
1070#440—731no—
1071#440—731no—
1072C4×SD16—731no—
1073C4×SD16—731no—
1074C4×SD16—731no—
1075C4×SD16—731no—
1076C4×SD16—731no—
1077C4×D8—731no—
1078C4×D8—731no—
1079C4×D8—731no—
1080#436—731no—
1081#436—731no—
1082#436—731no—
1083#435—731no—
1084#435C2×D7311yescharacteristic
1085C8×D4—731no—
1086#433—731no—
1087#433—731no—
1088#431—731no—
1089#424—731no—
1090#424—731no—
1091#423—731no—
1092#418—731no—
1093#417—731no—
1094#417—731no—
1095#417—731no—
1096#416—731no—
1097C2×#103—731no—
1098C2×#41—731no—
1099C2×#41—731no—
1100C2×#41—731no—
1101C2×#41—731no—
1102C2×#41—1461no—
1103C2×#41C22×D7311yescharacteristic
1104C22×Q8—731no—
1105C22×D4—21no—
1106C22×D4C22×D7311yescharacteristic
1107C22×D4C22×D7311yescharacteristic
1108C22×D4C22×D7311yescharacteristic
1109C23×C4—1461no—
1110#137—2922no—
1111AGL(1,ℤ/8)—42no—
1112AGL(1,ℤ/8)—2922no—
1113AGL(1,ℤ/8)—2922no—
1114#135—2922no—
1115C2×Q16—731no—
1116C2×Q16—731no—
1117C2×Q16—731no—
1118C2×SD16—731no—
1119C2×SD16—731no—
1120C2×SD16—731no—
1121C2×SD16—731no—
1122C2×SD16—731no—
1123C2×SD16—731no—
1124C2×SD16—731no—
1125C2×SD16—731no—
1126C2×SD16—731no—
1127C2×SD16C22×D7311yescharacteristic
1128C2×SD16C22×D7311yescharacteristic
1129C2×SD16C22×D7311yescharacteristic
1130C2×D8—42no—
1131C2×D8—731no—
1132C2×D8—731no—
1133C2×D8—731no—
1134C2×D8C22×D7311yescharacteristic
1135C2×D8C22×D7311yescharacteristic
1136C2×D8C22×D7311yescharacteristic
1137C2×D8C22×D7311yescharacteristic
1138C2×D8C22×D7311yescharacteristic
1139C2×D8C22×D7311yescharacteristic
1140C2×M16—731no—
1141C2×M16—731no—
1142C2×M16—731no—
1143C2×M16C22×D7311yescharacteristic
1144C22×C8—731no—
1145C22×C8C22×D7311yescharacteristic
1146C4⋊Q8—731no—
1147C4⋊Q8—731no—
1148C4⋊Q8—731no—
1149#127—731no—
1150#127—731no—
1151#127—1461no—
1152#127C22×D7311yescharacteristic
1153#126—731no—
1154#126—731no—
1155#126—1461no—
1156#126—1461no—
1157#126—1461no—
1158#126—1461no—
1159#126—1461no—
1160#126—1461no—
1161#126—1461no—
1162#126—1461no—
1163#126—1461no—
1164#125—731no—
1165#125—731no—
1166#125—731no—
1167#125—731no—
1168#125—1461no—
1169#125—1461no—
1170#125—1461no—
1171#124—731no—
1172#124—731no—
1173#124—731no—
1174#124—731no—
1175#124—731no—
1176#124—731no—
1177#124—731no—
1178#124—1461no—
1179#124—1461no—
1180#124—1461no—
1181#124—1461no—
1182#124—1461no—
1183#124C22×D7311yescharacteristic
1184#123—21no—
1185#123—731no—
1186#123—731no—
1187#123—1461no—
1188#123—1461no—
1189#123—1461no—
1190#123—1461no—
1191#123—1461no—
1192#123—1461no—
1193#123—1461no—
1194#123—1461no—
1195#123—1461no—
1196#123—1461no—
1197#123—1461no—
1198#123—1461no—
1199#123—1461no—
1200#123—1461no—
1201#123—1461no—
1202#123—1461no—
1203#123—1461no—
1204#123—1461no—
1205#123—1461no—
1206#123—1461no—
1207#123—1461no—
1208#123—1461no—
1209C22⋊Q8—731no—
1210C22⋊Q8—731no—
1211C22⋊Q8—731no—
1212C22⋊Q8—731no—
1213C22⋊Q8—731no—
1214C22⋊Q8—1461no—
1215C22⋊Q8—1461no—
1216C22⋊Q8—1461no—
1217C22⋊Q8—1461no—
1218C22⋊Q8—1461no—
1219C22⋊Q8—1461no—
1220C22⋊Q8—1461no—
1221C22⋊Q8—1461no—
1222C22⋊Q8—1461no—
1223C22⋊Q8—1461no—
1224C22⋊Q8C22×D7311yescharacteristic
1225#121—21no—
1226#121—21no—
1227#121—731no—
1228#121—731no—
1229#121—731no—
1230#121—731no—
1231#121—731no—
1232#121—1461no—
1233#121—1461no—
1234#121—1461no—
1235#121—1461no—
1236#121—1461no—
1237#121—1461no—
1238#121—1461no—
1239#121—1461no—
1240#121—1461no—
1241#121—1461no—
1242#121—1461no—
1243#121—1461no—
1244#121—1461no—
1245#121—1461no—
1246#121—1461no—
1247#121—1461no—
1248#121—1461no—
1249#121C22×D7311yescharacteristic
1250#121C22×D7311yescharacteristic
1251#121C22×D7311yescharacteristic
1252#120—21no—
1253#120—21no—
1254#120—21no—
1255#120—1461no—
1256#120—1461no—
1257#120—1461no—
1258#120—1461no—
1259#120—1461no—
1260C4×Q8—731no—
1261C4×Q8—731no—
1262C4×Q8—731no—
1263C4×Q8—731no—
1264C4×Q8—731no—
1265C4×Q8—731no—
1266C4×D4—731no—
1267C4×D4—731no—
1268C4×D4—731no—
1269C4×D4—731no—
1270C4×D4—731no—
1271C4×D4—731no—
1272C4×D4—731no—
1273C4×D4—731no—
1274C4×D4—731no—
1275C4×D4—731no—
1276C4×D4—731no—
1277C4×D4—1461no—
1278C4×D4—1461no—
1279C4×D4—1461no—
1280C4×D4—1461no—
1281C4×D4—1461no—
1282C4×D4—1461no—
1283C4×D4—1461no—
1284C4×D4—1461no—
1285C4×D4—1461no—
1286C4×D4—1461no—
1287C4×D4—1461no—
1288C4×D4—1461no—
1289C4×D4—1461no—
1290C4×D4—1461no—
1291C4×D4—1461no—
1292C4×D4—1461no—
1293C4×D4C22×D7311yescharacteristic
1294C4×D4C22×D7311yescharacteristic
1295C4×D4C22×D7311yescharacteristic
1296#117—731no—
1297#117—731no—
1298#117—731no—
1299#117—1461no—
1300#117—1461no—
1301#117—1461no—
1302#117—1461no—
1303#117—1461no—
1304C2×C4⋊C4—731no—
1305C2×C4⋊C4—731no—
1306C2×C4⋊C4—1461no—
1307C2×C4⋊C4—1461no—
1308C2×C4⋊C4—1461no—
1309C2×C22⋊C4—21no—
1310C2×C22⋊C4—1461no—
1311C2×C22⋊C4—1461no—
1312C2×C22⋊C4—1461no—
1313C2×C22⋊C4—1461no—
1314C2×C22⋊C4—1461no—
1315C2×C22⋊C4—1461no—
1316C2×C42—731no—
1317#107—731no—
1318#107—731no—
1319#107—731no—
1320#107—731no—
1321#106—731no—
1322#106—731no—
1323#106—731no—
1324#106C22×D7311yescharacteristic
1325C4⋊C8—731no—
1326C4⋊C8—731no—
1327C4⋊C8—731no—
1328C4⋊C8—731no—
1329C4⋊C8—731no—
1330C4⋊C8—731no—
1331C4⋊C8—731no—
1332C4⋊C8—731no—
1333C4⋊C8—731no—
1334C4⋊C8C22×D7311yescharacteristic
1335#103—731no—
1336#103—731no—
1337#103—731no—
1338#103—731no—
1339#103—731no—
1340#103—731no—
1341#103—731no—
1342#103—731no—
1343#103—731no—
1344#103—731no—
1345#103—731no—
1346#103—731no—
1347#103—731no—
1348#103C22×D7311yescharacteristic
1349#102—731no—
1350#102—731no—
1351#102—731no—
1352#102—731no—
1353#102—731no—
1354#102—731no—
1355#102—731no—
1356#102—731no—
1357#102—731no—
1358#102—731no—
1359#102—731no—
1360#102—731no—
1361#102—731no—
1362#102C22×D7311yescharacteristic
1363#102C22×D7311yescharacteristic
1364#102C22×D7311yescharacteristic
1365#102C22×D7311yescharacteristic
1366#102C22×D7311yescharacteristic
1367C22⋊C8—731no—
1368C22⋊C8—731no—
1369C22⋊C8—731no—
1370C22⋊C8—731no—
1371C22⋊C8C22×D7311yescharacteristic
1372C22⋊C8C22×D7311yescharacteristic
1373#97—731no—
1374#97C22×D7311yescharacteristic
1375C4×C8—731no—
1376C4×C8—731no—
1377C4×C8—731no—
1378C4×C8—731no—
1379C24—21no—
1380C24—21no—
1381C24—21no—
1382#41—41no—
1383#41—41no—
1384#41—2921no—
1385#41—2921no—
1386#41—2921no—
1387#41—2921no—
1388#41—2921no—
1389#41—2921no—
1390#41—2921no—
1391#41—5842no—
1392#41—1462no—
1393C2×Q8—2921no—
1394C2×Q8—2921no—
1395C2×Q8—731no—
1396C2×Q8—731no—
1397C2×Q8—731no—
1398C2×Q8—731no—
1399C2×Q8—1461no—
1400C2×Q8—1461no—
1401C2×Q8C23×D7311yescharacteristic
1402C2×D4—22no—
1403C2×D4—22no—
1404C2×D4—21no—
1405C2×D4—21no—
1406C2×D4—21no—
1407C2×D4—21no—
1408C2×D4—21no—
1409C2×D4—21no—
1410C2×D4—21no—
1411C2×D4—21no—
1412C2×D4—21no—
1413C2×D4—41no—
1414C2×D4—41no—
1415C2×D4—41no—
1416C2×D4—41no—
1417C2×D4—82no—
1418C2×D4—731no—
1419C2×D4—731no—
1420C2×D4—731no—
1421C2×D4—1461no—
1422C2×D4—1461no—
1423C2×D4—1461no—
1424C2×D4—1461no—
1425C2×D4—1461no—
1426C2×D4—1461no—
1427C2×D4—1461no—
1428C2×D4—1461no—
1429C2×D4—1461no—
1430C2×D4—1461no—
1431C2×D4—1461no—
1432C2×D4—1461no—
1433C2×D4D4×D7311yescharacteristic
1434C2×D4C23×D7311yescharacteristic
1435C2×D4C23×D7311yescharacteristic
1436C2×D4C23×D7311yescharacteristic
1437C2×D4C23×D7311yescharacteristic
1438C2×D4C23×D7311yescharacteristic
1439C22×C4—21no—
1440C22×C4—21no—
1441C22×C4—21no—
1442C22×C4—5842no—
1443C22×C4—731no—
1444C22×C4—731no—
1445C22×C4—731no—
1446C22×C4—1461no—
1447C22×C4—1461no—
1448C22×C4—1461no—
1449C22×C4—1461no—
1450C22×C4—1461no—
1451C22×C4—1461no—
1452C22×C4—1461no—
1453C22×C4—1461no—
1454C22×C4—1461no—
1455C22×C4—1461no—
1456C22×C4—1461no—
1457C22×C4—1461no—
1458C22×C4—1461no—
1459C22×C4—1461no—
1460C22×C4—1461no—
1461C22×C4—1461no—
1462C22×C4C23×D7311yescharacteristic
1463C22×C4C23×D7311yescharacteristic
1464Q16—2921no—
1465Q16—2921no—
1466Q16—2921no—
1467SD16—22no—
1468SD16—41no—
1469SD16—41no—
1470SD16—2921no—
1471SD16—2921no—
1472SD16—2921no—
1473SD16—2921no—
1474SD16—2921no—
1475SD16—2921no—
1476SD16—2921no—
1477SD16—1462no—
1478SD16—1462no—
1479D8—22no—
1480D8—22no—
1481D8—41no—
1482D8—41no—
1483D8—41no—
1484D8—41no—
1485D8—2921no—
1486D8—2921no—
1487D8—1462no—
1488M16—41no—
1489M16—2921no—
1490M16—2921no—
1491M16—2921no—
1492C2×C8—41no—
1493C2×C8—2921no—
1494C2×C8—731no—
1495C2×C8—731no—
1496C2×C8—731no—
1497C2×C8—731no—
1498C2×C8C23×D7311yescharacteristic
1499C2×C8C23×D7311yescharacteristic
1500C2×C8C23×D7311yescharacteristic
1501C2×C8C23×D7311yescharacteristic
1502C4⋊C4—21no—
1503C4⋊C4—731no—
1504C4⋊C4—731no—
1505C4⋊C4—731no—
1506C4⋊C4—731no—
1507C4⋊C4—731no—
1508C4⋊C4—731no—
1509C4⋊C4—731no—
1510C4⋊C4—731no—
1511C4⋊C4—731no—
1512C4⋊C4—731no—
1513C4⋊C4—731no—
1514C4⋊C4—731no—
1515C4⋊C4—731no—
1516C4⋊C4—1461no—
1517C4⋊C4—1461no—
1518C4⋊C4—1461no—
1519C4⋊C4—1461no—
1520C4⋊C4—1461no—
1521C4⋊C4—1461no—
1522C4⋊C4—1461no—
1523C4⋊C4—1461no—
1524C4⋊C4—1461no—
1525C4⋊C4—1461no—
1526C4⋊C4—1461no—
1527C4⋊C4—1461no—
1528C4⋊C4—1461no—
1529C4⋊C4—1461no—
1530C4⋊C4—1461no—
1531C4⋊C4—1461no—
1532C4⋊C4—1461no—
1533C4⋊C4—1461no—
1534C4⋊C4—1461no—
1535C4⋊C4—1461no—
1536C4⋊C4—1461no—
1537C4⋊C4—1461no—
1538C4⋊C4D4×D7311yescharacteristic
1539C4⋊C4C23×D7311yescharacteristic
1540C4⋊C4C23×D7311yescharacteristic
1541C22⋊C4—21no—
1542C22⋊C4—21no—
1543C22⋊C4—21no—
1544C22⋊C4—21no—
1545C22⋊C4—21no—
1546C22⋊C4—21no—
1547C22⋊C4—21no—
1548C22⋊C4—21no—
1549C22⋊C4—731no—
1550C22⋊C4—731no—
1551C22⋊C4—731no—
1552C22⋊C4—731no—
1553C22⋊C4—731no—
1554C22⋊C4—731no—
1555C22⋊C4—731no—
1556C22⋊C4—731no—
1557C22⋊C4—1461no—
1558C22⋊C4—1461no—
1559C22⋊C4—1461no—
1560C22⋊C4—1461no—
1561C22⋊C4—1461no—
1562C22⋊C4—1461no—
1563C22⋊C4—1461no—
1564C22⋊C4—1461no—
1565C22⋊C4—1461no—
1566C22⋊C4—1461no—
1567C22⋊C4—1461no—
1568C22⋊C4—1461no—
1569C22⋊C4—1461no—
1570C22⋊C4—1461no—
1571C22⋊C4—1461no—
1572C22⋊C4—1461no—
1573C22⋊C4—1461no—
1574C22⋊C4—1461no—
1575C22⋊C4—1461no—
1576C22⋊C4—1461no—
1577C22⋊C4—1461no—
1578C22⋊C4—1461no—
1579C22⋊C4—1461no—
1580C22⋊C4—1461no—
1581C22⋊C4—1461no—
1582C22⋊C4—1461no—
1583C22⋊C4—1461no—
1584C22⋊C4—1461no—
1585C22⋊C4—1461no—
1586C22⋊C4—1461no—
1587C22⋊C4D4×D7311yescharacteristic
1588C22⋊C4D4×D7311yescharacteristic
1589C42—731no—
1590C42—731no—
1591C42—731no—
1592C42—731no—
1593C42—731no—
1594C42—1461no—
1595C42—1461no—
1596C42—1461no—
1597C42—1461no—
1598C42—1461no—
1599C42—1461no—
1600C42C23×D7311yescharacteristic
1601C23—21no—
1602C23—21no—
1603C23—21no—
1604C23—21no—
1605C23—21no—
1606C23—42no—
1607C23—42no—
1608C23—42no—
1609C23—81no—
1610C23—81no—
1611C23—81no—
1612C23—81no—
1613C23—81no—
1614C23—81no—
1615C23—731no—
1616C23—1461no—
1617C23C2×D4×D7311yescharacteristic
1618C23C2×D4×D7311yescharacteristic
1619Q8—21no—
1620Q8—21no—
1621Q8—2921no—
1622Q8—5841no—
1623Q8—5841no—
1624Q8—1461no—
1625Q8—1461no—
1626Q8—1461no—
1627Q8—1461no—
1628Q8—1461no—
1629Q8—1461no—
1630D4—21no—
1631D4—21no—
1632D4—21no—
1633D4—21no—
1634D4—21no—
1635D4—21no—
1636D4—21no—
1637D4—21no—
1638D4—21no—
1639D4—41no—
1640D4—42no—
1641D4—42no—
1642D4—42no—
1643D4—81no—
1644D4—81no—
1645D4—81no—
1646D4—81no—
1647D4—81no—
1648D4—81no—
1649D4—2922no—
1650D4—2921no—
1651D4—2921no—
1652D4—5841no—
1653D4—5841no—
1654D4—5841no—
1655D4—5841no—
1656D4—5841no—
1657D4—5841no—
1658D4—5841no—
1659D4—5841no—
1660D4—5841no—
1661D4—5841no—
1662D4—5841no—
1663D4—1461no—
1664D4—1461no—
1665D4#1455663612yes—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—81no—
1674C2×C4—81no—
1675C2×C4—81no—
1676C2×C4—2922no—
1677C2×C4—2922no—
1678C2×C4—2921no—
1679C2×C4—2921no—
1680C2×C4—5841no—
1681C2×C4—5841no—
1682C2×C4—5841no—
1683C2×C4—5841no—
1684C2×C4—5841no—
1685C2×C4—5841no—
1686C2×C4—5841no—
1687C2×C4—5841no—
1688C2×C4—5841no—
1689C2×C4—5841no—
1690C2×C4—5841no—
1691C2×C4—5841no—
1692C2×C4—5841no—
1693C2×C4—5841no—
1694C2×C4—731no—
1695C2×C4—731no—
1696C2×C4—731no—
1697C2×C4—731no—
1698C2×C4—731no—
1699C2×C4—731no—
1700C2×C4—731no—
1701C2×C4—1461no—
1702C2×C4—1461no—
1703C2×C4—1461no—
1704C2×C4—1461no—
1705C2×C4—1461no—
1706C2×C4—1461no—
1707C2×C4—1461no—
1708C2×C4—1461no—
1709C2×C4—1461no—
1710C2×C4C2×D4×D7311yescharacteristic
1711C2×C4C2×D4×D7311yescharacteristic
1712C2×C4C2×D4×D7311yescharacteristic
1713C2×C4C2×D4×D7311yescharacteristic
1714C2×C4C24×D7311yescharacteristic
1715C8—21no—
1716C8—21no—
1717C8—21no—
1718C8—21no—
1719C8—1461no—
1720C8—1461no—
1721C8—1461no—
1722C8—1461no—
1723C22—21no—
1724C22—21no—
1725C22—22no—
1726C22—21no—
1727C22—21no—
1728C22—21no—
1729C22—21no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—41no—
1737C22—41no—
1738C22—41no—
1739C22—41no—
1740C22—41no—
1741C22—41no—
1742C22—41no—
1743C22—41no—
1744C22—84no—
1745C22—162no—
1746C22—162no—
1747C22—2921no—
1748C22—2921no—
1749C22—2921no—
1750C22—1461no—
1751C22—1461no—
1752C22—1461no—
1753C22C22×D4×D7311yescharacteristic
1754C4—21no—
1755C4—21no—
1756C4—21no—
1757C4—21no—
1758C4—41no—
1759C4—41no—
1760C4—41no—
1761C4—2921no—
1762C4—2921no—
1763C4—2921no—
1764C4—2921no—
1765C4—2921no—
1766C4—2921no—
1767C4—2921no—
1768C4—1461no—
1769C4—1461no—
1770C4—1461no—
1771C4—1461no—
1772C4—1461no—
1773C4—1461no—
1774C4—1461no—
1775C4C2×#1455663611yescharacteristic
1776C4#1798942211yescharacteristic
1777C2—41no—
1778C2—41no—
1779C2—42no—
1780C2—81no—
1781C2—81no—
1782C2—81no—
1783C2—81no—
1784C2—2921no—
1785C2—5841no—
1786C2#2262359111yescharacteristic
1787C2#2262469911yescharacteristic
1788C2#2262470711yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3264C2
socleC22×C73C23×D4
hypercenter#3264D73
hypocenterC73#62028
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3264

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #22624513C2semidirect
2. #22623856C2semidirect
3. #22623016C2semidirect
4. #22622931C2semidirect
5. #22622759C2semidirect
6. #22622586C2semidirect
7. #22622253C2semidirect
8. #22622147C2semidirect
9. #22622136C2semidirect
10. #22622029C2semidirect
11. #22621915C2semidirect
12. #22621828C2semidirect
13. #22621616C2semidirect
14. #22621566C2semidirect
15. #22621562C2semidirect
16. #22621527C2semidirect
17. #22621469C2semidirect
18. #22621368C2semidirect
19. #22621350C2semidirect
20. #22621326C2semidirect
21. #22621021C2semidirect
22. #22620987C2semidirect
23. #22620904C2semidirect
24. #22620177C2semidirect
25. #22620134C2semidirect
26. #22619973C2semidirect
27. #22619482C2semidirect
28. #22619431C2semidirect
29. #22619392C2semidirect
30. #22619073C2semidirect
31. C73×#3264C2semidirect
32. C2×#14556620C22semidirect
34. C2×#14556617C22semidirect
38. #17989323C22semidirect
39. #17989319C22semidirect
40. #17989307C22semidirect
41. #17989296C22semidirect
49. #17989255C22semidirect
50. #17989247C22semidirect
51. #17989244C22semidirect
53. #17989237C22semidirect
56. #17989231C22semidirect
57. #17989231C22semidirect
59. #17989197C22semidirect
60. #17989191C22semidirect
62. #17989188C22semidirect
68. #17989157C22semidirect
69. #17989154C22semidirect
70. #17989133C22semidirect
71. #17989118C22semidirect
72. #17989118C22semidirect
76. #17989066C22semidirect
78. C2×D4×Dic73C22semidirect
79. #17988975C22semidirect
80. #17988970C22semidirect
81. #17988970C22semidirect
82. #17988968C22semidirect
83. #17988959C22semidirect
84. #17988956C22semidirect
85. #17988945C22semidirect
86. #17988943C22semidirect
87. #17988941C22semidirect
88. #17988940C22semidirect
89. #17988932C22semidirect
90. #17988929C22semidirect
91. #17988925C22semidirect
92. #17988923C22semidirect
93. #17988907C22semidirect
94. #17988903C22semidirect
95. #17988899C22semidirect
96. #17988897C22semidirect
97. #17988897C22semidirect
98. #17988889C22semidirect
99. #17988889C22semidirect
100. #17988888C22semidirect
101. #17988887C22semidirect
102. #17988885C22semidirect
103. #17988885C22semidirect
104. #17988880C22semidirect
105. #17988871C22semidirect
106. #17988845C22semidirect
107. #17988843C22semidirect
108. #17988839C22semidirect
109. #17988837C22semidirect
111. #17988831C22semidirect
112. #17988831C22semidirect
113. #17988828C22semidirect
114. #17988822C22semidirect
115. #17988820C22semidirect
116. #17988808C22semidirect
117. #17988808C22semidirect
118. #17988808C22semidirect
119. #17988807C22semidirect
120. #17988806C22semidirect
121. #17988804C22semidirect
122. #17988804C22semidirect
126. #17988800C22semidirect
127. #17988800C22semidirect
128. #17988800C22semidirect
129. #17988800C22semidirect
130. #17988800C22semidirect
131. #17988798C22semidirect
132. #17988796C22semidirect
133. #17988792C22semidirect
134. #17988790C22semidirect
135. #17988790C22semidirect
136. #17988790C22semidirect
137. #17988786C22semidirect
140. #17988780C22semidirect
141. #17988780C22semidirect
142. #17988780C22semidirect
143. #17988779C22semidirect
144. #17988751C22semidirect
145. #17988751C22semidirect
146. #17988749C22semidirect
148. #17988738C22semidirect
149. #17988738C22semidirect
150. #17988733C22semidirect
152. #17988730C22semidirect
154. #17988729C22semidirect
155. #17988729C22semidirect
156. #17988724C22semidirect
157. #17988724C22semidirect
158. #17988715C22semidirect
159. #17988711C22semidirect
160. #17988689C22semidirect
161. #17988688C22semidirect
162. #17988684C22semidirect
163. #17988678C22semidirect
164. #17988678C22semidirect
165. #17988678C22semidirect
166. SD16×Dic73C22semidirect
167. C4×#11924016C22semidirect
169. D8×Dic73C22semidirect
170. C4×#11924013C22semidirect
172. #17988663C22semidirect
173. #17988662C22semidirect
174. #17988661C22semidirect
175. C8×C22⋊D73C22semidirect
176. #17988649C22semidirect
177. #17988645C22semidirect
178. #17988637C22semidirect
179. #17988613C22semidirect
180. #17988612C22semidirect
181. #17988610C22semidirect
182. #17988592C22semidirect
183. #17988589C22semidirect
184. #17988588C22semidirect
185. #17988585C22semidirect
186. #17988584C22semidirect
187. #103×D73C22semidirect
912. #3264D73semidirect
926. C73#62028semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
#226245132
#226238562
#226230162
#226229312
#226227592
#226225862
#226222532
#226221472
#226221362
#226220292
#226219152
#226218282
#226216162
#226215662
#226215622
#226215272
#226214692
#226213682
#226213502
#226213262
#226210212
#226209872
#226209042
#226201772
#226201342
#226199732
#226194822
#226194312
#226193922
#226190732
C73×#32642
#6202873